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Circular Rydberg states of hydrogenlike systems in collinear electric and magnetic fields of arbitrary strengths: an exact analytical classical solution

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Abstract.

We derived analytical expressions for the energy of classical Circular Rydberg States (CRS) in collinear electric (F) and magnetic (B) fields of arbitrary strengths. Previously published explicit expressions for the energy E were given only for the region of a weak electric field F and only in the limits of \(B \to 0\) and \(B \to \infty \). We offered formulas for the dependence of the classical ionization threshold F c (B) and of the energy at this threshold E c (B) valid for the magnetic field B of an arbitrary strength. We also analyzed the stability of the motion by going beyond the CRS. In addition, for two important particular cases previously studied in the literature -- classical CRS in a magnetic field only and classical CRS in an electric field only -- we presented some new results as well.

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  1. Physics Department, Auburn University, AL 36849-5311, Auburn, USA

    E. Oks

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  1. E. Oks
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Correspondence to E. Oks.

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Received: 6 June 2003

PACS:

32.60. + i Zeeman and Stark effects - 31.15.-p Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations)

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Oks, E. Circular Rydberg states of hydrogenlike systems in collinear electric and magnetic fields of arbitrary strengths: an exact analytical classical solution. Eur. Phys. J. D 28, 171–179 (2004). https://doi.org/10.1140/epjd/e2003-00308-1

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